Using Money to Understand Place Value

I like place value blocks. They are a great concrete model for helping students to understand the relationship between ones, tens, hundreds and thousands. Students can count the blocks and set them side by side to see that ten ones is the same as one hundred or that one hundred tens is equal to one thousand. I also think it is important to use other examples for students to find meaning in the base ten system. In early grades we see students bundling straws and or popsicle sticks to learn grouping in tens and hundreds. A lot of teachers have students bring in objects to count on the hundredth day of school and sort them into groups of ten to see the relationship between ones, tens, and hundreds. These are terrific! But … what about older students? What about the relationships in the thousands, millions, billions?
For years I used blocks to teach and review base ten from ones through one thousands and then showed the students the patterns on the place value chart. One year I borrowed thousands cubes from other teachers to show my students a concrete example of ten thousand. (It was tall). This is a great concrete example for a lot of the students, and I still use the blocks (see my blocks post here). But not for all. So, what other models can we use with older students?

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Money! Yup! Students seem to like talking about and playing with money! So I started using that play money from my manipulatives kit to help students see that the relationship between place values isn’t always about size, sometimes it is about WORTH (value)! So I took the fives out and we would use the play money to practice trading 10 ones for a ten, 10 tens for a hundred. And then I showed how that pattern repeats on the place value chart. Works great! But … most sets of play money don’t have the bigger bills … so … I made my own play money!

free place value money

 

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Now I have bills from the ones to the millions! I had a student ask me last week when we were working on this if there was really such a thing as a ten thousand dollar bill. I told her I wasn’t sure, but maybe we could research money to see what kind of bills the US Mint makes! Maybe I will have time to do that tomorrow! 😊

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math help 2

There are many ways to teach problem solving to elementary students. Most students are successful with a well structured problem solving plan.  However, we all have at least a few students who just don’t “get it” with regular classroom lessons. Working one on one or in small groups and applying well planned interventions helps these students find success.  Last week I shared my first three top tips and today I am sharing the next three tips:

help with word problemsSome students understand the questions just fine, but have trouble seeing the big picture, the story or the scenario. These students need extra help laying out the details. Most students will benefit from instruction in drawing pictures or making diagrams, and struggling students will especially need to practice with this.  I like to teach my students how to make part-part-whole and whole-part-part models.   models for problem solving.png

We will discuss each clue and label it as a part or the whole and then work from there.  Strip diagrams and unit bars work well too.  I also like to encourage students to make actual pictures of the clues. I am no artist and the kids like to laugh at my drawings with me!  

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 help with mathThis is so important for students who have trouble visualizing the actions in the problem. An example could be using this problem below with Martina and her purse.  I will get play money out and we will actually act out the story with the play money. Another example could be to use colored counters with the apple story below.  Now there are some big numbers so you could use smaller numbers to practice acting it out and then transfer the actions to your paper with the larger numbers.

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 math helpSometimes students get caught up by the big numbers and can’t focus on the actions in the problem. For these students you can cross out the big numbers, substitute with smaller numbers and have them solve. Then apply the actions to the bigger numbers. If needed, use manipulatives to help build understanding.

 

Missed Part 1 from last week?  Find it here:

more math help 3

Connecting Math to Student’s Interest

 

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So, we all have had that one kid that just hates math, or that one kid who is bored because they don’t see the meaning to learning math. Okay, if we are really being honest, we know quite a few of these kids … quite a few each year!  Flash back to my beginning years teaching. I naïvely thought if I was a positive upbeat  teacher I could get 100% of my kids involved and excited! And, boy did I try hard! And it worked … 100% all the time! Just kidding! I did get some students engaged,but  I still had kids that just didn’t like math or see the relevance in math no matter what I did!

Somewhere along the way I had a sort of “aha” moment. I was making a quilt for my friend’s soon to be born baby girl. I was measuring, cutting, moving shapes around and organizing patterns. I realized that I was having FUN and using MATH!  I started thinking about how I could help my students use their own hobbies and interests to understand and see the meaning in learning Math.

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To get everyone involved, I spent time showing my students my hobby, sewing, and explained how I used Math skills to successfully make quilts, clothing, etc… Then I asked my students about their interests and hobbies and we discussed Math involved.  Afterwards I brought in as much Math “stuff” as I could to make connections!  For example, I went to a few Houston Rockets basketball games with my husband and I would bring the program to school so my basketball loving kids could use them to see the Math in the stats, etc. I found project books and books with records, graphs, charts, etc… related to kids hobbies/interests. As the years went on we got internet friendly computers in the classroom and I was able to find a lot of meaningful websites with statistics on Sports, travel, sewing, music, you name it!

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There is Math everywhere … crafts, sports, party planning, cars, traveling, weather, current events, cooking, taking care of pets, video games, building, planting a garden, and so much more! I make it a point to get to know my students’ interests and hobbies so I can relate their interests to Math as often as possible! Sometimes this means pulling up a website and giving them a task or assignment, but sometimes it is as simple as just asking questions and being  such as “How do you think decimals relate to basketball?” or “What kind of Math skills do you need to know to raise and take care of a horse?” 

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Keeping up with my students interests is important for establishing good relationships and also for finding connections in Math! I can use their knowledge in their areas of interest to help them build confidence in Math! 

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Awesome Math & Science Easter Activities

It is that time of year again! Time for jelly beans, eggs, bunnies and baskets! There are so many ways to use Easter excitement to keep your students engaged in classroom lessons.  Here are some of my favorites from around the web:

 easter math and science

Math:

One of my favorite activities this time of year is a Math Egg Hunt!  Buy a bunch of plastic eggs and stick problems inside the eggs. Hide the eggs around the room. Give your students a record sheet or a piece of notebook paper and let them hunt and solve math problems.  Print your own problems or get mine FREE here.

 eggs Continue reading

Top 5 Tips for Decomposing Fractions

As I have mentioned in previous posts about fractions, starting with hands on and pictorial activities is vital for helping primary intermediate level students understand fractions. Today I would like to share my top 5 tips for decomposing fractions. These are mainly focused on 3rd – 5th grade, but may be helpful for some older and younger students as well.

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1.)  I love using my pizza game for hands on fractions!  If you don’t have a pizza game, you can use plastic fraction circles or make pizza fractions from paper plates. Show your students a fraction of a pizza such as 5/6. After guided them to name the fraction, show them one way to decompose it by giving 2/6 to one student and 3/6 to another student. Point out that 2/6 + 3/6 is a way to decompose 5/6 and ask if they can name any other ways.  Act out other representations such as 2/6 + 1/6 + 2/6 by giving those slices to other students.  Try this with several different students.

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2.)  Give students color tiles or unifix cubes. Give specific directions such as make a rectangle with 3 red, 2 blue and 7 yellow.  What fraction of your tiles are not yellow? (5/12)  Move the red and blue apart a little to show how 5/12 can also be represented as 3/12 + 2/12.  Do this with a few other fractions as well.

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3.) Give students pictures of fractions and have them cut them up to show ways to decompose the fraction.

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4.) Coloring Practice – Give students pictures of fractions with nothing shaded.  Give them directions on what color to color different parts.  Then guide them to write number sentences to decompose the fractions.

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5.) Play Games!  Make your own games to practice decomposing fractions or try one of the games I have available on my TpT page.

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Jolly Classroom Activities for December

Copy of Rock the blues in style

December is a month full of celebrations! Students are focused on the upcoming Holidays and Traditions they celebrate in their communities and with their families! How does a teacher compete with that kind of excitement? Well, by joining in! Fill your classroom with Educational Holiday Activities to keep your students learning all month long!

For MATH you could graph responses to fun questions, play skill related card games or go on scavenger hunts.

For SCIENCE there are many different experiments and STEM activities you could incorporate into class time:

For LANGUAGE ARTS and SOCIAL STUDIES you can read and write about different winter holidays, compare and contrast elements from holidays and ad in some kindness lessons.

There are SO MANY fun educational activities! Check out my Pinterest Holiday Board for more ideas!

 

Place Value Relationships

Understanding place value is an important Math skill for elementary students.  One of the objectives is for students to describe the relationship between places in a base ten system.  Although this may seem difficult at first, starting with concrete manipulatives can really help students gain a deeper understanding.

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I like to start by letting students “play” with the blocks for a few minutes.  Then I will ask specific questions and have them use the blocks to work out answers.  One such example is “How many ones do you need to equal a ten?” or “How many tens can you use to make one hundred?”  Give students time to work together or independently with the blocks to answer the question, then discuss.  I also like to write the questions/answers on the board or have a record sheet for them to work along with. Continue reading

Understanding Place Value

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Have you ever had a student who seemed to understand place value  initially, but then when questions were asked just a little differently couldn’t really answer correctly? Younger students need a lot of hands on practice and a lot of discussions before moving on to pictorial and abstract. What about middle and upper elementary?  As  the learning targets get higher and the numbers get bigger, most students need to revisit basic place value concepts with hands on experiences and discussions to build or review understanding before moving on to bigger numbers. Continue reading